000 | 04750nam a22006135i 4500 | ||
---|---|---|---|
999 |
_c12671 _d12671 |
||
001 | 978-3-319-67944-0 | ||
003 | DE-He213 | ||
005 | 20211213105940.0 | ||
008 | 171128s2018 gw | s |||| 0|eng d | ||
020 | _a9783319679440 | ||
040 | _cAIKTC-KRRC | ||
041 | _aENG | ||
072 | 7 |
_aTGMD _2bicssc |
|
072 | 7 |
_aTEC009070 _2bisacsh |
|
072 | 7 |
_aTGMD _2thema |
|
082 | 0 | 4 |
_a620.1 _223 |
100 | 1 |
_aKavallaris, Nikos I. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aNon-Local Partial Differential Equations for Engineering and Biology _h[electronic resource] : _bMathematical Modeling and Analysis / |
250 | _a1st ed. 2018. | ||
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2018. |
|
300 |
_aXIX, 300 p. 23 illus., 7 illus. in color. _bCard Paper |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aMathematics for Industry, _x2198-350X ; _v31 |
|
520 | _aThis book presents new developments in non-local mathematical modeling and mathematical analysis on the behavior of solutions with novel technical tools. Theoretical backgrounds in mechanics, thermo-dynamics, game theory, and theoretical biology are examined in details. It starts off with a review and summary of the basic ideas of mathematical modeling frequently used in the sciences and engineering. The authors then employ a number of models in bio-science and material science to demonstrate applications, and provide recent advanced studies, both on deterministic non-local partial differential equations and on some of their stochastic counterparts used in engineering. Mathematical models applied in engineering, chemistry, and biology are subject to conservation laws. For instance, decrease or increase in thermodynamic quantities and non-local partial differential equations, associated with the conserved physical quantities as parameters. These present novel mathematical objects are engaged with rich mathematical structures, in accordance with the interactions between species or individuals, self-organization, pattern formation, hysteresis. These models are based on various laws of physics, such as mechanics of continuum, electro-magnetic theory, and thermodynamics. This is why many areas of mathematics, calculus of variation, dynamical systems, integrable systems, blow-up analysis, and energy methods are indispensable in understanding and analyzing these phenomena. This book aims for researchers and upper grade students in mathematics, engineering, physics, economics, and biology. | ||
650 | 0 |
_aMechanical Engineering _94626 |
|
653 | _aMathematical Applications in the Physical Sciences. | ||
653 | _aComputer Appl. in Life Sciences. | ||
653 | _aPartial Differential Equations. | ||
653 | _aIndustrial Chemistry/Chemical Engineering. | ||
700 | 1 |
_aSuzuki, Takashi. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer Nature eBook | |
776 | 0 | 8 |
_iPrinted edition: _z9783319679426 |
776 | 0 | 8 |
_iPrinted edition: _z9783319679433 |
776 | 0 | 8 |
_iPrinted edition: _z9783319885155 |
830 | 0 |
_aMathematics for Industry, _x2198-350X ; _v31 |
|
856 | 4 | 0 |
_uhttps://doi.org/10.1007/978-3-319-67944-0 _zClick here to access eBook in Springer Nature platform. (Within Campus only.) |
942 |
_cEBOOKS _2ddc |